- Solve Using Python Code Kindly Send Me The Solution As Soon As Possible 1 (111.11 KiB) Viewed 21 times
Use Google Colab (Python) to write your solutions for each problem. 1. Write a code implementing the Trisection method, which is analogous to the Bisection method except that at each step, the interval is subdivided into 3 equal subintervals, instead of 2; then takes a subinterval where the function values at the endpoints are of opposite signs. (a) Is the Trisection method guaranteed to converge if for the initial interval [a, b], we have f(a) f(b) <0? Why or why not? (b) Starting with several different initial intervals, solve e = x² using the Trisection method to within 6 correct decimal places. Compare with the results obtained using the Bisection method. (c) Considering computational cost (e.g. function evaluations, floating point operations), would you prefer Bisection or Trisection method? Explain your answer.